Subject

    গাণিতিক যুক্তি

    Topic

    সমাধান

    x+y=0 এবং 2x-y+3=0 সরলরেখা দুটি কোন বিন্দুতে ছেদ করে?

    ক)
    (-1/3; 1/3)
    খ)
    (1;-1)
    গ)
    (1/3; 1/3)
    ঘ)
    (-1;1)

    Explanation

    the two lines must meet at the point where the x and y co-ordinates are same for both the equations inorder to solve the equations simultaneously, the substitution method must be applied therefore from the first equation, we get x+y=0 x = -y substituting this equation in thesecond given equation we get 2(-y)-y+3=0 -2y-y+3=0 -3y+3=0 -3y=-3 y=1 substituting y = 1 in any of the two given equations gives us the  corresponding value of x x + (1) = 0 x = -1 therefore the point of intersection of the two straight lines is at the cordinates (-1, 1)

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